English
The relation contMDiffOn_coordChangeL is stable under simp simplifications, i.e., the claimed equality persists after simplification.
Русский
Стабильность равенства contMDiffOn_coordChangeL под упрощениями.
LaTeX
$$$\operatorname{contMDiffOn_coordChangeL} e e' := \dots$$$
Lean4
protected theorem coordChangeL (hf : ContMDiffOn IM IB n f s) (he : MapsTo f s e.baseSet)
(he' : MapsTo f s e'.baseSet) :
ContMDiffOn IM 𝓘(𝕜, F →L[𝕜] F) n (fun y ↦ (e.coordChangeL 𝕜 e' (f y) : F →L[𝕜] F)) s := fun x hx ↦
(hf x hx).coordChangeL (he hx) (he' hx)